Published Paper

Inserted: 6 dec 2024
Last Updated: 25 mar 2026

Journal: SIAM Journal on Mathematical Analysis
Volume: 58
Number: 2
Pages: 232-125
Year: 2026
Doi: https://epubs.siam.org/doi/10.1137/25M1724183
Links: SIAM

Abstract:

In this preprint we consider fully nonlinear equations in thin domains with oblique boundary condition, finding some new phenomena, in particular the limit equation contains "new terms" of the second, first and zeroth order which don't have an equivalent in the Neumann case treated in our previous work arXiv:2404.19577. The classical laplacian problem with Neumann boundary condition, goes back to the well known result of Hale and Raugel (1992).